Answer:
6
Step-by-step explanation:
The equation for this would be:
n+8=14, since we are adding 8 to a number and getting 14
To solve, isolate the variable n, by subtracting 8 from both sides
n+8=14
n+8-8=14-8
n=6
The number is 6
Option A
Elena need to ride around the loop four or more times
<em><u>Solution:</u></em>
Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long
Then she will ride the same way home
She wants to ride a total of at least 22 miles
<em><u>Given inequality is:</u></em>
3t + 10 > 22
Where "t" is the number of times Elena rides around the loop
<em><u>Solve fot "t" in given inequality</u></em>
3t + 10 > 22
Subtract 10 both sides
3t + 10 - 10 > 22 - 10
3t > 12
Divide by 3 both sides
t > 4
The solution is all real numbers greater than or equal to 4
Which means 4 or more times
Therefore, Option A is correct.
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
